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Finding the Fourth Proportional to 1,742.39, 2,614.38 and 865.77

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Solution

The fourth proportional to 1,742.39, 2,614.38 and 865.77 is: 1,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.39 : 2,614.38 = 865.77 : x
  2. Step 2: Convert to fraction form
    1,742.39/2,614.38 = 865.77/x
  3. Step 3: Cross multiply
    1,742.39x = 2,614.38 × 865.77
  4. Step 4: Simplify right side
    1,742.39x = 2,263,434.37
  5. Step 5: Solve for x
    x = 2,263,434.37/1,742.39
  6. Step 6: Final answer
    x = 1,299.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.